Hi, this is actually for my general relativity class, but I thought I would get more help in the math section of the forums, since it involves very little physics, or even not at all. 1. The problem statement, all variables and given/known data Take Tab and Sab to be the covariant components of two tensors. Consider the determinant equation for [itex]\lambda[/itex] : | [tex]\lambda[/tex]Tab - Sab |= 0 Prove that the roots of this equation are scalars, making clear what you mean by scalar. 2. Relevant equations 3. The attempt at a solution Well If I solve for the determinant I think I should get a quartic equation for the eigenvalues [itex]\lambda[/itex] of the form [tex]\lambda[/tex]^4 + a1[tex]\lambda[/tex]^3 + a2[tex]\lambda[/tex]^2 + a3[tex]\lambda[/tex] + a4 = 0 Or not? Will I get an equation involving the components of the tensors T and S?? I just want to make sure I am understanding the question and I'm headed in the right path. Any suggestions are greatly appreciated.